Recent Progress in QCD Condensate Evaluations and Sum Rules

Abstract

We review the recent status of the QCD sum rule approach to study the properties of hadrons in vacuum and in hot or dense matter. Special focus is laid on the progress made in the evaluation of the QCD condensates, which are the input of all QCD sum rule calculations, and for which much new information has become available through high precision lattice QCD calculations, chiral perturbation theory and experimental measurements. Furthermore, we critically examine common analysis methods for QCD sum rules and contrast them with potential alternative strategies. The status of QCD sum rule studies investigating the modification of hadrons at finite density as well as recent derivations of exact sum rules applicable to finite temperature spectral functions, are also reviewed.

106 pages, 25 figures, 7 tables, matches published version in Progress in Particle and Nuclear Physics, 2019

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• QCD sum rules for the $\Delta$ isobar in neutron matter
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• Spin-3/2 Pentaquark in QCD Sum Rules
• Possible quantum numbers of the pentaquark Θ^+(1540) in QCD sum rules
• Meson-baryon sigma terms in QCD Sum Rules
• QCD sum rule for nucleon in nuclear matter
• Temperature dependence of dimension 6 gluon operators and their effects on Charmonium
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• Many body effects in nuclear matter QCD sum rules
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• Temperature dependence of Quark and Gluon condensate In The Dyson-Schwinger Equations At Finite Temperature
• Calculating loops without loop calculations: NLO computation of pentaquark correlators
• Nucleon QCD sum rules in nuclear matter including radiative corrections
• Reshuffling the OPE: Delocalized Operator Expansion
• Quark-gluon mixed condensate for the SU(2) light-flavor sector at finite temperature

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• Three-Loop OPE Wilson Coefficients of Dimension-Four Operators for (Axial-)Vector and (Pseudo-)Scalar Current Correlators
• ALP contribution to the Strong CP problem
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